Mass per volume density.
Slugs per Cubic yard to Grains per Cup Converter — slug/yd3 to gr/cup
Convert Slug per Cubic yard (slug/yd3) to Grain per Cup (gr/cup) using the exact conversion factor (1 slug per cubic yard = 69.6928537 grain per cup). See the formula, worked examples, and conversion table.
Slugs per Cubic yard to Grains per Cup converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Context values
Some unit families need one extra value for a physically accurate result.
Mass per volume density.
Result = input x 19.08810438 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Slugs per Cubic yard to Grains per Cup
Slug per Cubic yard and Grain per Cup both measure density — mass per unit volume — a property used to identify materials, check manufacturing quality, and predict whether something floats or sinks. As a fixed reference point, water has a density of exactly 1000 kg/m³ (1 g/cm³, 1 g/mL) at its temperature of maximum density, which is why many density figures in science and engineering are quoted relative to water. Both are mass per volume density units.
Formula
grains per cup = slugs per cubic yard × 69.6928537001
This factor comes from each unit's defined relationship to the category's base unit: 1 slug per cubic yard equals 19.0881043849 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct slug per cubic yard-to-grain per cup factor of 69.6928537001.
Simple example
1 slug/yd3 × 69.6928537 = 69.6928537 gr/cup
1 slug per cubic yard = 69.6928537 grains per cup.
Real-world example
1,000 slug/yd3 × 69.6928537 = 69,692.8537 gr/cup
1,000 slugs per cubic yard = 69,692.8537 grains per cup.
Conversion table
| Slug per Cubic yard (slug/yd3) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 slug/yd3 | 6.96928537 gr/cup |
| 1 slug/yd3 | 69.6928537 gr/cup |
| 10 slug/yd3 | 696.928537 gr/cup |
| 100 slug/yd3 | 6,969.28537 gr/cup |
| 1,000 slug/yd3 | 69,692.8537 gr/cup |
| 10,000 slug/yd3 | 696,928.537 gr/cup |
Reverse conversion: Grain per Cup to Slug per Cubic yard
69.6928537 gr/cup × 0.01434867346 = 1 slug/yd3
69.6928537 grains per cup = 1 slugs per cubic yard.
slugs per cubic yard = grains per cup × 0.0143486734566
For a page dedicated to this direction, see Grain per Cup to Slug per Cubic yard.
Understanding the Slug per Cubic yard (slug/yd3)
Mass per volume density.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cup are in 1 slug per cubic yard?
1 slug per cubic yard equals 69.6928537 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert slug per cubic yard to grain per cup?
Multiply the slug per cubic yard value by 69.6928537. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to slug per cubic yard?
Use the reverse factor: 1 grain per cup equals 0.0143486735 slugs per cubic yard. You can also use the swap control in the converter above to flip the direction instantly.
What is a slug per cubic yard?
Slug per Cubic yard (slug/yd3) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the slug per cubic yard to grain per cup conversion exact?
Yes. Both slug per cubic yard and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 69.6928537 used above is exact to as many digits as you choose to display.
What's the difference between density and mass concentration?
Density is the mass of a pure substance or material per unit volume. Mass concentration is the mass of one component — like a dissolved solute — within a mixture's total volume. The two use the same kind of units but describe different physical situations.